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Finding the Fourth Proportional to 3,670, 5,506.04 and 1,478.22

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Solution

The fourth proportional to 3,670, 5,506.04 and 1,478.22 is: 2,217.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670 : 5,506.04 = 1,478.22 : x
  2. Step 2: Convert to fraction form
    3,670/5,506.04 = 1,478.22/x
  3. Step 3: Cross multiply
    3,670x = 5,506.04 × 1,478.22
  4. Step 4: Simplify right side
    3,670x = 8,139,138.45
  5. Step 5: Solve for x
    x = 8,139,138.45/3,670
  6. Step 6: Final answer
    x = 2,217.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.